A method of separating unburned Carbon, as particulate matter, from the flyash produced as a result of the combustion process occurring in a pulverized-coal fired steam generating power plant is disclosed. More particularly the invention separates the flyash into a coarse product group and a fine product group by utilizing the differences in specific gravity between the Carbon particles and remaining flyash as well as utilization of the dynamic classification characteristics of a rotary classifier to effect the separation whereby at least one of the two product groups comprises a relatively low weight percentage of unburned Carbon while yet comprising a relatively high percentage of the total mass of product recovered after separation.